78045680640 has 352 divisors, whose sum is σ = 259419421440. Its totient is φ = 20009189376.

The previous prime is 78045680633. The next prime is 78045680641. The reversal of 78045680640 is 4608654087.

It is a super-2 number, since 2×78045680640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78045680640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78045680641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50579709 + ... + 50581251.

Almost surely, 2^78045680640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78045680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129709710720).

78045680640 is an abundant number, since it is smaller than the sum of its proper divisors (181373740800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78045680640 is a wasteful number, since it uses less digits than its factorization.

78045680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 78045680640 in words is "seventy-eight billion, forty-five million, six hundred eighty thousand, six hundred forty".